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Finding the Fourth Proportional to 561,643.10, 842,464.65 and 505,655.90

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Solution

The fourth proportional to 561,643.10, 842,464.65 and 505,655.90 is: 758,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,643.10 : 842,464.65 = 505,655.90 : x
  2. Step 2: Convert to fraction form
    561,643.10/842,464.65 = 505,655.90/x
  3. Step 3: Cross multiply
    561,643.10x = 842,464.65 × 505,655.90
  4. Step 4: Simplify right side
    561,643.10x = 425,997,220,813.94
  5. Step 5: Solve for x
    x = 425,997,220,813.94/561,643.10
  6. Step 6: Final answer
    x = 758,483.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.